场方程的对合性
微分几何
2015-05-13 v2 偏微分方程分析
摘要
我们通过计算爱因斯坦场方程、爱因斯坦-麦克斯韦场方程及其他场方程的Spencer上同调，证明了它们的对合性。详细追溯了与Cartan方法的关系。并推导了通过Cartan-Kähler理论得出的基本推论。
引用
@article{arxiv.0902.1685,
title = {Involutivity of field equations},
author = {Boris Kruglikov},
journal= {arXiv preprint arXiv:0902.1685},
year = {2015}
}
备注
13 pages; this version is updated with new field equations (radiation, dust etc) - they are proved involutive, Spencer cohomology calculated